THEORETICAL ASPECTS AND NUMERICAL COMPUTATION OF THE TIME-HARMONIC GREEN'S FUNCTION FOR AN ISOTROPIC ELASTIC HALF-PLANE WITH AN IMPEDANCE BOUNDARY CONDITION

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dc.contributor.authorDuran, Mario
dc.contributor.authorGodoy, Eduardo
dc.contributor.authorNedelec, Jean Claude
dc.date.accessioned2024-01-10T14:22:04Z
dc.date.available2024-01-10T14:22:04Z
dc.date.issued2010
dc.description.abstractThis work presents an effective and accurate method for determining, from a theoretical and computational point of view, the time-harmonic Green's function of an isotropic elastic half-plane where an impedance boundary condition is considered. This method, based on the previous work done by Duran et al. (cf. [Numer. Math. 107 (2007) 295-314; IMA J. Appl. Math. 71 (2006) 853-876]) for the Helmholtz equation in a half-plane, combines appropriately analytical and numerical techniques, which has an important advantage because the obtention of explicit expressions for the surface waves. We show, in addition to the usual Rayleigh wave, another surface wave appearing in some special cases. Numerical results are given to illustrate that. This is an extended and detailed version of the previous article by Duran et al. [C. R. Acad. Sci. Paris, Ser. IIB 334 (2006) 725-731].
dc.description.funderProyecto ANILLO de Investigacion ACT30 del Programa Bicentenario en Ciencia y Tecnologia de CONICYT/World Bank (Chile)
dc.description.funderPUC
dc.fechaingreso.objetodigital2024-05-02
dc.format.extent22 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1051/m2an/2010020
dc.identifier.issn0764-583X
dc.identifier.urihttps://doi.org/10.1051/m2an/2010020
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/79850
dc.identifier.wosidWOS:000280137500004
dc.information.autorucIngeniería;Durán M;S/I;100275
dc.information.autorucIngeniería;Godoy E;S/I;160251
dc.issue.numero4
dc.language.isoen
dc.nota.accesocontenido parcial
dc.pagina.final692
dc.pagina.inicio671
dc.publisherEDP SCIENCES S A
dc.revistaESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
dc.rightsacceso restringido
dc.subjectGreen's function
dc.subjecthalf-plane
dc.subjecttime-harmonic elasticity
dc.subjectimpedance boundary condition
dc.subjectsurface waves
dc.subjectLAMBS PROBLEM
dc.subjectEMBEDDED SOURCES
dc.subjectSPACE
dc.subjectMODEL
dc.subject.ods11 Sustainable Cities and Communities
dc.subject.odspa11 Ciudades y comunidades sostenibles
dc.titleTHEORETICAL ASPECTS AND NUMERICAL COMPUTATION OF THE TIME-HARMONIC GREEN'S FUNCTION FOR AN ISOTROPIC ELASTIC HALF-PLANE WITH AN IMPEDANCE BOUNDARY CONDITION
dc.typeartículo
dc.volumen44
sipa.codpersvinculados100275
sipa.codpersvinculados160251
sipa.indexWOS
sipa.indexScopus
sipa.trazabilidadCarga SIPA;09-01-2024
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